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Artist 52 [7]
3 years ago
12

Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44).

Mathematics
1 answer:
insens350 [35]3 years ago
6 0
Let's say the point is C, and divides AB on a 4:7 ratio, from A to B, meaning the AC segment takes 4 units of the lot and the CB segment takes 7.

\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-33,0)\qquad B(0,44)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{4:7}
\\\\\\
\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{4}{7}\implies \cfrac{A}{B} = \cfrac{4}{7}\implies 7A=4B\implies 7(-33,0)=4(0,44)\\\\
-------------------------------

\bf C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\
-------------------------------\\\\
C=\left(\cfrac{(7\cdot -33)+(4\cdot 0)}{4+7}\quad ,\quad \cfrac{(7\cdot 0)+(4\cdot 44)}{4+7}\right)
\\\\\\
C=\left( \cfrac{-231+0}{11}~~,~~\cfrac{0+176}{11} \right)\implies C=(-21~,~16)
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8 0
3 years ago
The table shows the American League batting champions for the years 1999–2003. The sum of these five batting averages is 1.754.
fgiga [73]
The answer is <span>A. .357 + .372 + .350 + .349 + x = 1.754; .326 
</span>
x1 - average of <span>1999 Nomar Garciaparra Boston
</span>x2 - average of 2000 Nomar Garciaparra Boston
x3 - average of <span>2001 Ichiro Suzuki Seattle 
</span>x4 - average of Manny Ramirez Boston  
x - average of <span>2003 Bill Mueller Boston 

</span><span>The sum of these five batting averages is 1.754:
x1 + x2 + x3 + x4 + x = 1.754

From the table:
x1 = 0.357
x2 = 0.372
x3 = 0.350
x4 = 0.349
x = ?

<u>0.357 + 0.372 + 0.350 + 0.349 + x = 1.754</u>

1.428 + x = 1.754
x = 1.754 - 1.428
<u>x = 0.326</u></span>
5 0
4 years ago
Can I please get help on this one.
irina1246 [14]
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3 0
3 years ago
Find the sum of 18 + (-15).<br><br> A. 3<br><br> B. -3<br><br> C. 33<br><br> D. -33
Delvig [45]

Answer: 3

Step-by-step explanation: To find the sum of these two numbers, remember that adding a negative is exactly the same thing as subtracting a positive. In other words, when we see 18 + (-15), we can change the problem so it's easier to understand and we will change in to 18 - 15.

Now, this is just basic subtraction.

18 - 15 = 3

Therefore, 18 + (-15) = 3

6 0
4 years ago
Anyone wanna help me out :D (Brainly to correct one)
Yuliya22 [10]

Answer enclosed w/work

3 0
3 years ago
Read 2 more answers
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